Analytic function of a matrix

Related lectures (30)

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Covers the concept of symmetric matrices, orthogonal bases, and eigenvectors.

Covers MIMO polynomial pole placement and state-feedback realization using the Lyapunov equation.

Explores the application of matrices and eigendecompositions in networks.

Delves into the complexity of matrix computations, focusing on eigenvalues and eigenvectors, algorithms, errors, and numerical stability.

Explores the geometric equivalence of Coxeter groups with the same graph and positive definite matrices.

Covers the diagonalization of matrices using eigenvectors and eigenvalues.

Covers matrix powers, the inverse of a 2x2 matrix, and its application to linear systems of equations.

Covers the method of diagonalization for determining if a non-square matrix A is diagonalizable.

Covers the diagonalization of matrices, showing how to find a basis for diagonal matrices.

Explores properties of matrices, irreducibility, and graph connectivity in networked control systems.